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Okay, Cyclic Advantage Armies can be many too. Right or wrong should assure maybe 75%-25%, with any question resolvable by Muller's or other engines. Easier to generate are Pawn armies dispensing with piece, instead 8 pawns and King . That would be the problemists' way; or problemist method would be to try very few piece-types only 1 or 2, or even only 2 or 3 pieces themselves let alone types.  (In fact, the two triads of C.A.A.s so far are that way.) This is a good topic appropriate for C.D.A. ////
Example One of Pawns only: In general, to stay 8x8 and allow flexibility, make the arrays Pawns a1-b1-c1-d1-e1-f1-g1-h1; King e2.
Example One, Pawns only, call it ''R.O.Q.'' Rock, like the Rock/scissors/paper it simulates: Quadra-Pawn army > Rococo Pawn army > Ortho-Pawn army > Quadra-Pawn army....
Ortho-Pawns have 1-, 2-, or 3-step opening option 8x8. Promotion all three types to Queen. Quadra-Pawn is like used in Centennial Chess. As per the suggestion, play this alternately on three-player board for mayhem and indeterminate outcomes, certainly not any 63-19-18, in peculiar way to back-equalize:
http://www.chessvariants.org/multiplayer.dir/three_player/three_player_chess.html. Does any program play three-players yet?
[Incidentally contrast all Pawns here to no Pawns of current fad Chieftain Chess.]